There are already operational MODIS based 'Active Fire' and 'Burnt Area Product' at 1 km and 500 m resolutions respectively. You might be interested in contacting the MODIS Fire Team at the University of Maryland. Follow the links.
Yes, you can use MODIS data to detect and identify the burnt areas at regional- or national-scale. But MODIS products have different resolution, e.g., 250m, 500m and 1000m. For regional-sale fire and burnt area identification, 500m of vegetation indices products (MOD13Q1 or MYD13Q1) including also Blue, Red, Near Infrared and Middle Infrared bands are reasonable. They have NDVI and EVI products, and will allow you to compose the Normalized Burn Ratio by yourself.
For very small burnt areas, e.g., < 1-10 ha, MODIS data can hardly meet what you want.
If you don't want spend too much time to detect fires and burnt areas, you can directly use the NASA's available fire products produced by the Univ. Maryland as James has introduced in his reply.